Search a number
-
+
13701700 = 2252181757
BaseRepresentation
bin110100010001…
…001001000100
3221210010012101
4310101021010
512001423300
61205401444
7224314435
oct64211104
927703171
1013701700
117809321
124709284
132ab971c
141b6948c
151309b6a
hexd11244

13701700 has 36 divisors (see below), whose sum is σ = 29936452. Its totient is φ = 5443200.

The previous prime is 13701689. The next prime is 13701703. The reversal of 13701700 is 710731.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2304324 + 11397376 = 1518^2 + 3376^2 .

It is not an unprimeable number, because it can be changed into a prime (13701703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17722 + ... + 18478.

Almost surely, 213701700 is an apocalyptic number.

13701700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13701700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968226).

13701700 is an abundant number, since it is smaller than the sum of its proper divisors (16234752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13701700 is a wasteful number, since it uses less digits than its factorization.

13701700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 19.

The square root of 13701700 is about 3701.5807434122. The cubic root of 13701700 is about 239.2901478986.

The spelling of 13701700 in words is "thirteen million, seven hundred one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 757 905 1514 1810 3028 3620 3785 4525 7570 9050 15140 18100 18925 37850 75700 137017 274034 548068 685085 1370170 2740340 3425425 6850850 13701700